Talk:First perfect square in base n with n unique digits: Difference between revisions
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(→Space compression and proof ?: Cases where q=0 ?) |
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# '4', '9', '4', '1', 'c', '1', '4', '9', '4' base 13 (digital root 1 for the first match found)</pre> |
# '4', '9', '4', '1', 'c', '1', '4', '9', '4' base 13 (digital root 1 for the first match found)</pre> |
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::: [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 23:59, 23 May 2019 (UTC) |
::: [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 23:59, 23 May 2019 (UTC) |
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::: Nigel, how would you formulate cases like base 12 and 14 in terms of quadratic residues ? The repeated digit sums of the first all-digit perfect squares seen for 12 and 14 are 'b' and 'd' respectively, corresponding to x^2 mod (N-1) == 0. Am I right in thinking that the 0 case is not usually treated as a member of the set of residuals ? Presumably we need to tack it on to our working lists of residuals here ... [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 12:01, 24 May 2019 (UTC) |